An Overview on Skew Constacyclic Codes and their Subclass of LCD Codes

Ranya D Boulanouar , Aicha Batoul , Delphine Boucher (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

This text is about the derivation of some necessary and sufficient conditions for the equiv-alency between skew constacyclic codes, skew cyclic codes and skew negacyclic codes defined over finite fields. A first characterization of LCD skew constacyclic codes is also given and some constructions of LCD MDS skew cyclic and skew negacyclic codes are derived over F p 2 .

Mots clés: Skew polynomial rings; Skew constacyclic codes; Equivalence; LCD codes; MDS codes

Domaines: Théorie de l'information et codage [math.IT]

Ranya D Boulanouar, Aicha Batoul, Delphine Boucher. An Overview on Skew Constacyclic Codes and their Subclass of LCD Codes. 2018. ⟨hal-01898223v1⟩